State Eligibility Test Physical Sciences. (Final Answer Key) Part-A

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1 State Eligibility Test 2017 Physical Sciences (Final nswer Key) Part- Q.No: 1 If f=tan -1 (y/x) then div(grad f ) is equal to f=tan -1 (y/x) div(grad f ) 1 1-1/ -1/ 0 0 1/ 1/ Q.No: 2 What will be the cylindrical co ordinates of the vector field What will be the Eigen value of the given matrix Q.No: 3 0, 0, 3 0, 0, 3 1, 1, 1 1, 1, 1-1, 2, 3-1, 2, 3 1, 0, 3 1, 0, 3 Q.No: 4 The differential equation dy/dt = y2 with the initial condition y(0)=1.2t, will expand as t tends to dy/dt = y 2 y(0)=1.2t, t? /2 1/2

2 Q.No: 5 Inverse Laplace transform of will be e 2t sinh5t e 2t sinh5t e -2t cosh5t e -2t cosh5t e -2t sinh5t e -2t sinh5t e 2t cos5t e 2t cos5t Q.No: 6 If x, y, z are non zero Hermitian operators which of the following relation must be false? x, y, z? xy + yx = z xy + yx = z xyz = z xyz = z [x.y] = z [x.y] = z x + y = z x + y = z Q.No: 7 What is the Fourier cosine transform of e -t2? e -t2? e -s2 e -s2 e -s2/2 e -s2/2 e -s2/4 e -s2/4 e -s2/4 e -s2/4 Q.No: 8 particle of mass M moves on a plane in the field of force radial unit vector. The angular momentum of the particle about its origin will be? Stationary onserved Not-conserved None of these are correct M,, च? particle moving under a central force describes the r = a(1 cos ) च Q.No: 9 path r = a(1 cos ), then the force is inversely, propositional to r 2 r 2

3 r 3 r 3 r 4 r 4 r 5 r 5 Q.No: 10 The Hamilton's canonical equation of motion in terms of Poisson rackets are Q.No: 11 The number of degree of freedom of a rigid body in space dimension is 2d 2 2d 2 6d 6d d(d+1)/2 d(d+1)/2 d(d+1)/d-1 d(d+1)/d-1 The Largrangian of a particle moving in plane under the influence of central potential is given by च Q.No: 12 corresponding to r and. The generalized momentum are, r Q.No: 13 What will be Hamiltonian corresponding to Lagrangian is

4 Question eleted Q.No: 14 n electron has kinetic energy equal to its rest energy. If the momentum of a photon is equal to this electron, what will be the energy of this photon?(you may need E 0 =m e c 2 )? ( E 0 =m e c 2 ) E 0 E 0 E 0 E 0 E 0 E 0 Q.No: 15 Two particles are travel long in opposite direction with speed 0.9c relative to the laboratory. Their relative speed will be 0.9 च 0.948c c.98c c Q.No: 16 n electron falls from rest through a potential difference of 100 V. What is its de roglie wave length? 100 V च 12.3 nm 12.3 nm 11.3 o 11.3 o 12.3 o 12.3 o nm nm Q.No: 17 Which one will be the quantum mechanical operator of a particle moving in one dimension? च, च

5 Q.No: 18 Which are the following wave functions acceptable in quantum mechanics? tanx tanx cosecx cosecx cotx cotx sinx sinx Q.No: 19 particle of mass m is confined in the ground state of a one dimensional box extending from x = -2L to x = +2L. The wave function of the particle in this state is where is constant. The energy of eigen value corresponding to this state is m x = -2L x = +2L च, particle is described by a wave Q.No: 20 function in one dimension. What is the probability that it will be found in the region?? e -a e -a e -2a e -2a 1 - e -a 1 - e -a 1 - e -2a 1 - e -2a Q.No: 21 What is the degeneracy of H - atom in state n = 3? n = 3 H

6 18 18 Q.No: 22 If and are two operators, then -1 [,] -1 will be औ च -1 [,] -1 [,] [,] [, -1 ] [, -1 ] [ -1,] [ -1,] [ -1, -1 ] [ -1, -1 ] Q.No: 23 The commutator of [x 2, p 2 ] is [x 2, p 2 ] 2i (xp + px) 2i (xp + px) 2i (xp - px) 2i (xp - px) 2i px 2i px 2i (px 2 + xp 2 ) 2i (px 2 + xp 2 ) Q.No: 24 The average value of p x, for the box normalized wave function, is. p x औ 0 0 Q.No: 25 Magnetic dipole of dipole moment is placed in a non-uniform magnetic field. If the position vector of the dipole is, the torque acting on the dipole about the origin is च, च

7 Q.No: 26 Which one of the law provides the displacement current Gauss Law Gauss Law Faraday s Law Faraday s Law mpere Law mpere Law iot Savart Law iot Savart Law Q.No: 27 If the magnetic monopole exists, which law is to be modified? च Q.No: 28 If coulomb gauze is given by, then Lorentz gauze is Q.No: 29 For a magnetic vector potential, will be its current density? what च

8 Q.No: 30 t the interface of two non-conducting medium, the reflection coefficient for normal incidence is given by च, Q.No: 31 If is the guide wavelength, is cut off wave length and is the free space wave length, then what is the rectangular wave equation?, Question eleted Q.No: 32 n air filled rectangular wave guide has dimension 6 x 4 cm. What is it guide wave length in TE 10 mode if incident frequency is 3 GHz? 6 x 4 cm 3 GHz TE cm 28 cm 19.8 cm 19.8 cm 19 cm 19 cm 10 cm 10 cm Q.No: 33 Scalar potential (r,t) of an electromagnetic wave च (r,t)

9 satisfies Q.No: 34 Which one of the following is correct for a common collector configuration of a transistor? Low voltage gain, High output impedance, Low input impedance Unity voltage gain, High input impedance, Low output impedance Very high voltage gain, Moderate input impedance, Low output impedance Moderate high voltage gain, Low input impedance and High output impedance म, म, म, आ म, म, म म, म, म म म, म, म, Q.No: 35 alculate the efficiency of arnot engine working between 227 o and 15 o 227 o औ 15 o च 82.4 % 82.4 % 21.2 % 21.2 % 42.4 % 42.4 % 63.6 % 63.6 % Q.No: 36 The boiling point of a liquid ecreases with increase of pressure म Increases with increases of pressure No change with pressure First increases then decreases औ म Q.No: 37 Entropy of the substance remains constant when the substance under goes

10 Isothermal change म diabatic change म Pressure change Volume change आ Q.No: 38 If the number density of a free electron gas in three dimension is increased eight times, its Fermi temperature will be Increase by a factor of 4 4 म ecrease by a factor of 4 4 Increase by a factor of 8 8 म ecrease by a factor of 8 8 Let W be the work done in a quasi static reversible Q.No: 39 thermodynamic process. Which of the following statement about W is correct? W W W is a perfect differential if this process is isothermal म म W W is a perfect differential if the process is adiabatic म म W W is always a perfect differential W म W cannot be a perfect differential W Q.No: 40 t what temperature will the average speed of hydrogen molecule be the same as that of Nitrogen molecule at 35 o. You may need molecular weight of N 2 = 28 gm/mol and H 2 = 2 gm/mol. औ, 35 o औ. N 2 = 28 gm/mol, H 2 = 2 gm/mol 25 o K 25 o K 33 o K 33 o K 22 o K 22 o K 11 o K 11 o K Q.No: 41 The ensemble which allows the subsystems to exchange of energy as well as number of particles with a reservoir is called. च anonical ensemble म Micro canonical ensemble म म Grand canonical ensemble म

11 Pressure ensemble म Q.No: 42 For a strongly degenerate Fermi gas, the specific heat is Proportional to absolute temperature म आ Proportional to square of absolute temperature म Proportional to cube of absolute temperature म Independent of temperature म Q.No: 43 JEFT always operates with the below process JEFT Gate to source p-n junction reverse bias औ - म म Gate to source p-n junction forward bias औ - म Gate to drain is grounded औ Gate is left open for building field to effect transistor functioning म Q.No: 44 If the following program is run on an 8085 microprocessor, what will be value of and registers? LX1H, 4031 PUSH H PUSH L POP POP HLT 8085 च औ?? LX1H, 4031 PUSH H PUSH L POP POP HLT 31 and and and and Q.No: 45 n / converter consists of / / converter, amplifier /, omparator, counter and other gates,

12 omparator, clock, / convertor and counter,, / औ lock, amplifier, oscillator and comparator,, Q.No: 46 In a 8085 microprocessor, if the starting address of a 4 K memory is 2000 H, what will be the last address? K 2000 H 23EF H 23EF H 2FFF H 2FFF H 20FF H 20FF H 4FFF H 4FFF H Q.No: 47 small increases in collector reverse bias, will cause Large increase in emitter current म large increase in collector current म Very large decrease in collector voltage म म Very small change in collector reverse saturation current म म Q.No: 48 In the ose - Einstein condensates the particles - Have inter particle attraction म आ ondense in real space म म Have overlapping wave functions Have large and positive chemical potential औ म Q.No: 49 n ideal op-amp is used to make an inverting amplifier. The two input terminals of the op-amp are at the same potential because Two input terminals are directly shorted internally ऑ - - Input impedance of the op-amp is infinity Open drop again and MRR are infinity औ मआ आ Slew rate is very small म Q.No: 50 The effect of doping intrinsic semi conductor is to च Move Fermi level towards the centre of forbidden म

13 band Move the Fermi level away from the centre of the forbidden band म hange the crystal structure of the semiconductor Keep the Fermi level at the middle of the forbidden band म म म Part- Q.No: 1 To solve Laplace equation in spherical coordinate system when it is symmetric about z-axis, one of the following methods can be used. Which is/are true? I. ssociated Legendre's Function II. Legendre's Polynomial III. essel Function, z-axis, I. च Legendre's II. Legendre's III. essel Only I and III I औ III only II II Only III III II and III II औ III Q.No: 2 With which boundary conditions, the ordinary Green's function does not exist for the differential equation. Q.No: 3 a-iv,b-iii,c-i,d-ii -iv, -iii, -i, -ii a-iii,b-iv,c-i,d-ii -iii, -iv, -i, -ii

14 a-ii,b-iv,c-iii,d-i -ii, -iv, -iii, -i a-i,b-ii,c-iv,d-iii -i, -ii, -iv, -iii Q.No: 4 What is the order of error in Simpson's 3/8 rule of numerical integration? 3/8 O (h 2 ) O (h 2 ) O (h 3 ) O (h 3 ) O (h 4 ) O (h 4 ) O (h 5 ) O (h 5 ) Q.No: 5 To group of order less than 4 is 4 lways cyclic म lways non-cyclic म May or may not be cyclic yclic under some conditions म Q.No: 6 If the components of a tensor are zero in one coordinate system, then which of the following observations is/are true? I. omponents are not zero in any system II. omponents are zero in only one - coordinate system III. omponents are zero in all coordinate system I. II. III. Statement I and II III औ II Statement III only III Statement II only II Statement II and III II औ III Q.No: 7 The canonical transformation Q = p, P = -q is generated by the generating function Q = p, P = -q F = qp F = qp F = qq F = qq F = pq F = pq F = pp F = pp Q.No: 8 Which of the following is/are false?

15 The Poisson bracket of momentum, conjugate to a cyclic coordinate with Hamiltonian vanishes म, म म Lagrangian bracket is in varied under anonical transformation Poisson bracket changes sign under communication of concerned dynamical variables, Lagrangian bracket is commutative with respect to concerned dynamical variables Q.No: 9 If {l x, x} is the vanishing Poisson bracket, tell which of the following relation/relations is/are false for Poisson bracket? (I) [l x, l y ] = -l z (II) [l x, l z ] = -l y (III) [l z, l y ] = -l x {l x, x} (I) [l x, l y ] = -l z (II) [l x, l z ] = -l y (III) [l z, l y ] = -l x I and II I औ II Only II II Only II and III II औ III Only I I Q.No: 10 Hamilton's canonical equations of motions are Q.No: 11 a-iv,b-iii,c-ii,d-i -iv, -iii, -ii, -i

16 a-iii,b-ii,c-iv,d-i -iii, -ii, -iv, -i a-iv,b-i,c-ii,d-iii -iv, -i, -ii, -iii a-i,b-ii,c-iv,d-iii -i, -ii, -iv, -iii Q.No: 12 What will be the normal frequencies of normal modes of vibration of the system characterized by the Lagrangian Q.No: 13 Which statements are true for normal dispersion in a electromagnetic wave? (I) Refractive Index increases as wavelength increase (II) Refraction index decrease as wavelength increase (III) Slope of the curve wavelength. (IV) Normal ispersion is given by is greater at shorter च I. II. III., IV. I, II and III I,II औ III II and IV II औ IV II and III II औ III II, III and IV II III औ IV Q.No: 14 Which one of the following remains invariant under Lorentz transformations?

17 Q.No: 15 The potential which exhibits the dependence of potentials on the velocity of the particle is known as Scalar Potential Vector Potential Retarded Potential म Lienard - Wiechort Potential - Q.No: 16 Which statements are true for the boundary conditions in a waveguide? (I) Normal derivative of magnetic field at the surface is zero (II) Tangential component of electric field is not zero. (III) Normal derivative of magnetic field at the surface (IV) Tangential component of electric Field is zero (I) च (II) (III) च (IV) I and IV I औ IV I and II II औ II II and III II औ III II and IV II औ IV Q.No: 17 When a particular mode is excited in a a wave guide there appears a magnetic field in the direction of propagation also. The resulting mode is च Transverse electric mode TE Transverse Magnetic mode TM TEM mode TEM avity resonator Q.No: 18 The in-homogenous electromagnetic wave equations using Lorentz gauge given by च

18 Q.No: 19 Using oulomb gauge wave equations are true?, which is the e.m. Q.No: 20 Given a wave with dispersion relation = ck + m for k > 0 and m > 0, which statement is true? I. Group velocity is greater than phase velocity II. Group velocity is less than the phase velocity III. Group and phase velocity are same IV. Group velocity is finite but phase velocity is zero k > 0 औ m > 0 = ck + m I. II. III. औ IV I and II I औ II only II II only IV IV Only I and III I औ II Q.No: 21 The energy in the ground state of the hydrogen atom can be calculated as Variation method म WK approximation WK म oth variation and WK approximation WK None of these Q.No: 22 The WK approximation is used to the system where WK Potential function vary rapidly Potential function vary fast Potential function vary slowly Potential function has no relation with WK approximation WK म Q.No: 23 Which statement is correct? Scattering of neutrons by electrons gives about, म

19 the structural properties of the nucleus From a nucleus gives the idea about the magnetic properties of the nucleus From a nucleus gives idea electrical properties of the nucleus ll of these ऊ Q.No: 24 The orn approximation will be hold good only when, The wave function must differ with larger value from the incident wave function. The wave function is not much different from the incident wave function. The wave function must be same with the value of the incident wave function., आ, आ औ आ Wave function has no relation with this. Q.No: 25 The dipole moment amplitude p 0 in terms of charge (q) and acceleration of accelerated charge is: p 0 (q) औ Q.No: 26 -II,-III,-IV,-I -II, -III, -IV, -I -I,-IV,-III,-II -I, -IV, -III, -II -III,-IV,-I,-II -III, -IV, -I, -II -I,-III,-IV,-II -I, -III, -IV, -II

20 Q.No: 27 Scattering cross section is given by म ssertion (): If are irac matrices म : Q.No: 28 then Reason (R): Mark your answer as oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () आ : ( ) औ (आ ) (आ ), ( ) ( ) औ (आ ) (आ ), ( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ ) ssertion (): Klein - Gordan equation म : Q.No: 29 is valid for electron Reason (R): The Klein - Gordan equation is valid only for spin less particles orbiting about nucleus Mark your answer as आ : च औ oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () ( ) औ (आ ) (आ ), ( ) ( ) औ (आ ) (आ ), ( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ ) Q.No: 30 ssertion (): The charge and current densities defines by and satisfy the continuity equation Reason (R): For free particle, the orbital angular momentum is not a constant of motion. Mark your answer as आ : म : औ, औ,

21 oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () ( ) औ (आ ) (आ ), ( ) ( ) औ (आ ) (आ ), ( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ ) Q.No: 31 Increase in entropy, when one gram of water at 0 o is raised to 1 gm of water at 100 o 0 o 100 o al/k al/k al/k al/k al/k al/k al/k al/k Question eleted Q.No: 32 Wein's displacement law states that the monochromatic emissive power varies directly as the Square of the absolute temperature. म ube of absolute temperature. म Fourth power of absolute temperature. म Fifth power of absolute temperature. म Q.No: 33 Which statement is correct? The wave function is symmetric under interchange of two bosons. म म म The wave function is symmetric under interchange of two fermions. म म म म The wave function is asymmetric under interchange of two bosons. म म ll are true. Q.No: 34 Match the following

22 -I,-III,-IV,-II -I, -III, -IV, -II -IV,-II,-I,-III -IV, -II, -I, -III -III,-II,-I,-IV -III, -II, -I, -IV -III,-IV,-II,-I -III, -IV, -II, -I Q.No: 35 What will be the mean free path, if molecular diameter is and molecular density is n per unit volume औ n औ Q.No: 36 The root mean square speed < v2 > 1/2 for Maxwellian distribution of velocities of gas molecules will be v 2 > 1/2 < Q.No: 37 The Ising model investigates the behavior of substances whose molecules poses Ising model च : Electric dipole moment. आ Magnetic flux. Magnetic moment.

23 Electric flux. Q.No: 38 In a pressure transducer, we use Strain gauge. Hall effect transducer. Photo emissive cell. Photo transistor. Q.No: 39 Gauge factor of a transducer is defined as Q.No: 40 test is Q.No: 41

24 - I, -II, -IV,- III -I, - II, - IV, III -III,- I,-II,-IV -III, -I, - II, IV -II,- I,-III,-IV - II, - I, - III, IV - I,- III,- II,-IV - I, - III, -II, - IV Q.No: 42 ssertion (): Strain gauge is a semi conducting material Reason (R): Resistance changes when pressure is applied Mark your answer as oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () म : च आ : च ( ) औ (आ ) औ (आ ), ( ) ( ) औ (आ ) (आ ), ( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ ) Q.No: 43 ssertion (): Transducer converts physical quality to electrical quantity Reason (R): Piezoelectric effect tells about conversion of voltage when current is applied Mark your answer as oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () म : आ : ( ) औ (आ ) औ (आ ), ( ) ( ) औ (आ ) (आ ), ( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ ) Q.No: 44 ssertion : If the maximum peak to peak voltage of M wave is 16 mv and the minimum peak to peak voltage is 4 mv, then modulation factor is 0.6. Reason R: Modulation factor Mark your answer as oth () and (R) are true and (R) is the correct explanation of () oth () and (R) are true and (R) is not the correct explanation of () म : M च च 16 mv औ च च 4 mv 0.6 आ : ( ) औ (आ ) औ (आ ),( ) ( ) औ (आ ) (आ ),( ) () is true but (R) is false ( ) (आ ) () is false but (R) is true ( ) (आ )

25 Q.No: 45 The inverse Fourier Transform of the function sin t sin t cos t cos t sin(t) sin(t) cosec(t) cosec(t) Q.No: 46 The frequency dependence of noise power and noise voltage is औ Noise Power and Noise Voltage औ oth varies as oth Noise Power and Voltage vary as Noise Power and Noise Voltage औ Q.No: 47 For digital modulation of the signals, MOEM uses MOEM SK and PSK SK औ PSK FSK and SK FSK औ SK PSK and FSK PSK औ FSK SK, FSK and PSK SK, FSK औ PSK Q.No: 48 Probability of error in FSK is FSK

26 Q.No: 49 Which statement is correct? ll unit cells are primitive cells. ll the primitive cells need not to be unit cells., The unit cell is not related with primitive cells. ll of these are correct. Q.No: 50 simple intercepts at a, b/2, 3c in a simple cubic unit cell. The Miller indices of the plane are a, b/2, 3c (1 3 2) (1 3 2) (2 6 1) (2 6 1) (3 6 1) (3 6 1) (1 2 3) (1 2 3) Q.No: 51 Which is / are the correct statements? I) ebye theory of specific heat is based on that all atoms are vibrating with same frequency. II) ebye theory of specific heat is based on all atoms are vibrating with different frequency. I. II. - III) ll atoms are vibrating with same energy. III. Only I and III I औ III Only III III Only II II I and II I औ II Q.No: 52 phonon of wave vector k interacts with other particles and fields as if its momentum were k औ :

27 Q.No: 53 If H c is critical mag. field for a Superconductor and T c is transition temperature, then च च H c औ T c Q.No: 54 Width of the depletion layer in a p - n junction diode is given by p - n च Q.No: 55 For an intrinsic semiconductor m e * and m h * are the effective,asses of electrons and holes near the corresponding band edges. t a finite temperature the position if the fermilateral. च m e * औ m h * औ depends on m e * but not on m h * m e * आ m h * depends on m h * but not on m e * m h * आ m e * depends on both m e * and m h * m e * औ m h * आ Neither on m e * nor on m h * m e * औ m h * आ Q.No: 56 The unit Hall coefficient R H is R H

28 Q.No: 57 The normalized wave function for a particle in a rectangular box of dimension a,b,c is a,b,c None of these are correct Q.No: 58 If E F is the Fermi energy of a metal at 0 K and E f is the fermi energy at T K then 0 K E F T K E f Question eleted Q.No: 59 For a given dielectric as the temperature increases, the ionic polarizability Increases. ecreases. Remains unchanged. Varies sinusoidally.

29 Q.No: 60 In a Frenkel defect, Positive ion goes at substitutional site and keeps charge neutrality. Positive ion goes at interstitial site maintaing charge neutrality. Positive charge goes at interstitial and negative goes at substitution site. Negative ion goes at the surface and positive ion at interstitial disturbing charge neutrality. म आ औ आ म आ औ आ म आ औ म आ म आ औ म आ औ आ Q.No: 61 n atom of mass M can be exited to a state of mass (M + ) by phonon capture. The frequency of a photon which can cause this transition is M (M + ) औ Q.No: 62 ngular momentum quantisation is directly established by I) Photo electric effect and avison Germar experminet II) Stern - Gerlach experment and Frank - Hertz experiment III) Stern - Gerlach experiment I. औ II. III. IV) Frank - Hertz experiment IV. औ I and II I औ II Only III III Only IV IV Only II II Q.No: 63 Optical spectrum is the characteristics of the

30 ll electrons in the atom. ll protons on the nucleus. Valence electrons. Nucleons only. Q.No: 64 oublet - doublet transition will be due to - 2 5/2 2 5/2 2 P 3/2 2 P 3/2 2 P 3/2 2 5/2 2 S 3/2 2 5/2 2 S 1/2 2 P 3/2 2 S 3/2 2 P 3/2 2 P 3/2 2 S 3/2 2 S 1/2 2 S 3/2 Q.No: 65 - I, - III, - II, - IV -I, -III, - II, -IV - II, - III, - IV, - I -II, -III, -IV, - I -II, -I, -III, - IV -II, - I, -III, - IV -II, -III, - IV, - I -II, -III, - IV, - I Q.No: 66 What will be the frequency at which electron orbital magnetic moment processes in a magnetic field? च च

31 Q.No: 67 In a Kerr effect experiment Where K is Kerr constant, then voltage necessary for rotating the plane of polarization by /2 is known as K /2 Kerr voltage. Quarter wave voltage. Half wave voltage. Polarization voltage. Q.No: 68 The difference in a stimulated emission and spontaneous emission is औ : The incident wave determines the direction and phase in stimulated while no definite phase in spontaneous emission. : म म आ औ The incident wave determines the direction in stimulated but same phase in spontaneous emission. oth direction and phase are not determined by incident wave in stimulated while direction and phase both are maintained in spontaneous emission. आ म : म औ औ : There in no phase and directions are changed in both emissions. म औ Q.No: 69 The minimum photon energy required for e- e + pair production is 2mc 2, hence its corresponding wavelength is e - e + 2mc 2, X m X m X m X m 1.02 X 10-8 m 1.02 X 10-8 m X m X m Q.No: 70 Find the threshold energy for the pion production in the reaction N + N N + N +. You may require M N c 2 =940 MeV and m c 2 = 140 MeV. N + N +, M N 2 =940 MeV औ m 2 = 140 MeV. 300 MeV 300 MeV MeV MeV MeV MeV MeV MeV Q.No: 71 What is the parity of an - particle -

32 Q.No: 72 Find the energy release, if two 1 H 2 nuclei can fuse together to form 2 He 4 nucleus. The binding energy per nucleon of 1 H 2 and 2 He 4 is 1.1 MeV and 7.0 MeV respectively., 1 H 2 2He 4 1H 2 औ 2 He MeV औ 7.0 MeV 23.6 ev ev MeV MeV MeV MeV ev ev. Q.No: 73 Match the following. Q.No: 74

33 Q.No: 75 The decay process violates aryon Number Lepton number Isospin आ Strangeness